Question 1 You have a plane stress problem with the following stresses: In the x-direction a...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
Question 3 If the state of stress (in unit of MPa) at a point in a body is given as follows Figure 1 95x + 2y, , 10x + 10y2: o, y2 + 2 + 50; y= x+yIya = 0, T determine the body forces to satisfy the equilibrium equations ºyº *) Determine the direction cosines at a point P (2,121 h) Determine the normal stress resultant stress and shear stress on the plane whose normal is 21.2) (6 Marks)...
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A rectangular plate of dimensions X = 290 mm and Y = 100 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress ox of 4.5 MPa in the long direction and a tensile stress Oy of 13.5 MPa in the short direction. Using Mohr's Circle (2 points for the correct drawing); determine the normal stress ow acting perpendicular to the line of the weld and the shear...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
t. For the given state of stress determine a) The principal plane and the principal stresses b) The masimum in-plane shear stress e) The average normal stress d) The erientation of the stress for each case e) Draw the Mohr circle → 35 MPa 60 N
1. Chapter 9. Problem#1 (40p): Consider a single crystal FCC iron oriented itch tensile stress applied along |122] direction. A) (10p) Draw a unit eell and show there: the plane (111), tensile direction, normal to the plane direction and slip directions (110,(101] and lo11) B) (10p) Compute the resolved shear stress in (MPa) on plane (111) along the three slip direction given in (B), when tensile stress of 80 MPa is applied. C) (10p) If the critical resolved shear stress...
Question 3 Not yet answered A rectangular plate of dimensions X = 275 mm and Y = 150 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress ox of 4 MPa in the long direction and a tensile stress oy of 12 MPa in the short direction. Marked out of 5.00 V Flag question Using Mohr's Circle (2 points for the correct drawing): determine the normal stress ow acting perpendicular to...
A rectangular plate of dimensions X = 265 mm and Y = 100 mm is formed by welding two triangular plates (see figure). The plate is subjected to a compressive stress o of 4 MPa in the long direction and a tensile stress Oy of 14.5 MPa in the short direction. Using Mohr's Circle (2 points for the correct drawing); determine the normal stress ow acting perpendicular to the line of the weld and the shear stress tw acting parallel...
Problem 1 - Mohr's circle for plane stress For the given state of stress,[30 complete following: pts. 1. Draw Mohr's circle showing the principal stresses (max & min), center points (C) and radius R. (20 pts.] 60 MPa 180 MPa NMP MPa 2. Determine the principal planes (20and ) and the maximum in-plane shear stress (max). What is the corresponding normal stress (O") for this maximum in-plane shear stress? [10 pts.)